Quantum Dirac fermions in a half-space and their interaction with an electromagnetic field

Autor(es)

Fialkovsky, I. ; Kurkov, M. ; Vassilevich, D.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW D; v. 100, n. 4, p. 13-pg., 2019-08-28.

Resumo

We study the polarization tensor of a Dirac field in (3 + 1) dimensions confined to a half-space-a problem motivated by applications to the condensed matter physics, and to topological insulators in particular. Although the Pauli-Villars regularization scheme has a number of advantages, like explicit gauge invariance and decoupling of heavy modes, it is not applicable on manifolds with boundaries. Here, we modify this scheme by giving an axial mass to the regulators and to the physical field. We compute the renormalized polarization tensor in coordinate representation. We discuss then the induced Chern-Simons type action on the boundary and compare it to the effective action of a (2 + 1)-dimensional Dirac fermion. (AU)

• Processo FAPESP: 17/50294-1 - Quantum field theory in Dirac materials
• Beneficiário: Dmitry Vasilevich
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 16/03319-6 - Métodos não perturbativos em teoria quântica e em TQC e aplicações deles aos problemas de física atuais
• Beneficiário: Dmitri Maximovitch Guitman
• Modalidade de apoio: Auxílio à Pesquisa - Temático